To study the electroweak properties of nuclei, one needs a method to compute nuclear wave functions and evaluate transition matrix elements. Thus, one must solve the Schrödinger equation for a many-body system coupled to the appropriate set of quantum numbers. Because of the complexity of the nuclear Hamiltonian, an analytic solution is intractable for most light systems and one must use numerical techniques to approach the problem. In this chapter, I will describe the two quantum Monte Carlo (QMC) approaches that I use to study electroweak processes; namely, Variational Monte Carlo (VMC) and Green’s Function Monte Carlo (GFMC). In the QMC approach, one obtains wave functions and matrix elements through a stochastic procedure. This approach is a powerful tool in light systems, providing some of the most accurate calculations of properties for nuclei in the \(A=\) 6–12 mass range [1]. I will discuss the details, strengths, and limitations of the procedures in the following sections.